Theorem 6.2 ([1]}) 
Let \(M\)  be a \(q\) -Hamiltonian \((G \times G \times H)\) -space
with moment map \((\mu _1,\, \mu _2,\, \mu _3)\) . Let \(G \times H\)  act
by the diagonal embedding \((y,\, z)\, \longmapsto \, (y,\,y,\,z)\) .
Then \(M\)  with 2-form
\( \omega + (\mu _1^* \theta ,\, \mu _2^* \overline{\theta } )/2\) 
